Apparatus and Method for Determining Thermal Neutron Capture Cross Section of a Subsurface Formation From a Borehole Using Multiple Detectors

ABSTRACT

A well logging instrument including a plurality of detectors having different precisions and accuracies, the more precise detectors generally having lower accuracies. The detectors are responsive to the interaction of radiation from a suitable source on the instrument with earth formations. Outputs from the plurality of detectors are smoothed and combined to provide processed measurements with improved accuracy and precision.

CROSS-REFERENCES TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.10/955,867, now U.S. Pat. No. 7,253,402, which claimed priority fromU.S. provisional patent application Ser. No. 60/507,383.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The invention is related to the field of pulsed neutron well logging.More specifically, the invention is an apparatus and method forimproving accuracy and precision of capture cross-section measurements.

2. Description of the Related Art

Pulsed neutron well logging instruments are known in the art fordetermining the macroscopic thermal neutron capture cross-section ofearth formations penetrated by a wellbore. Typical pulsed neutroninstruments include a controllable source of high-energy neutrons andone or more gamma ray radiation detectors positioned at spaced apartlocations from the neutron source. The source is periodically activatedto emit controlled-duration “bursts” of high-energy neutrons into theearth formations surrounding the well borehole. These neutrons interactwith the atomic nuclei of the materials in the earth formations, losingenergy with each interaction until the neutrons reach the thermal energylevel (defined as having a most likely energy of about 0.025 electronvolts). Depending on the material composition of the earth formationsproximal to the instrument, the thermal neutrons can be absorbed(captured), at various rates by certain types of atomic nuclei in theearth formations. When one of these atomic nuclei captures a thermalneutron, it emits a gamma ray, which is referred to as a “capture gammaray”.

The rate at which the capture gamma rays are emitted, with respect tothe elapsed time after the end of the neutron “burst” depends on, amongother things, the relative concentration per unit volume in the earthformations of those atomic nuclei which have a relatively large tendencyto absorb thermal neutrons and emit capture gamma rays in response. Thistendency is referred to as the thermal neutron capture cross-section.

The capture cross section, designated as Σ, of the formation isdetermined by sending a burst of neutrons from the tool and watching thedecline of the gamma ray count rate with time as the neutrons arecaptured by the surrounding materials (neutron capture) and as theydiffuse farther away (neutron diffusion). Σ is inferred from thisobserved decline in the gamma ray count rate versus time. However, inaddition to the neutron capture, two key environmental effectscontribute to the observed decline, or decay rate: diffusion and theso-called “borehole contamination.” These effects need to be carefullycharacterized in order to determine the correct Σ throughout the widerange of operating conditions typically encountered in the oilfield.These effects are controlled by parameters which include borehole size,casing size, casing weight, borehole fluid salinity, porosity, andlithology.

Some approaches to handling these environmental effects have beendescribed in the prior art literature. See, for e.g., Steinman, et al.“Dual-Burst Thermal Decay Time Logging Principles,” 1986 SPE AnnualTechnical conference and Exhibition, New Orleans, La., (Oct. 5-8, 1986),paper SPE 15437; Smith, et al., “Obtaining Intrinsic Formation CaptureCross Sections with Pulsed Neutron Capture Logging Tools,” Transactionsof the 29^(th) Annual SPWLA Symposium, San Antonio, Tex. (Jun. 5-8,1988), paper SS; Murdoch, et al., “Diffusion Corrections to PulsedNeutron Capture Logs: Methodology,” Transactions of the 31^(st) AnnualSPWLA Symposium, Lafayette, La. (Jun. 24-27, 1990), paper Q; and Odom etal., “Quantitative Use of Computer Models in Calibration of theComputalog Pulsed Neutron Thermal Decay, Transactions of the 33^(rd)Annual SPWLA Logging Symposium, Oklahoma City, Okla. (Jun. 14-17, 1992),paper P.

Under certain wellbore conditions, it is difficult to determine thefractional saturation of oil or gas by processing the capture gamma raymeasurements according to methods known in the art for determining thethermal neutron capture cross-section, Σ_(F), of the earth formation ofinterest. Several factors contribute to this difficulty. First, the welllogging instrument is typically inserted into a wellbore which is filledwith liquid. At the time the pulsed neutron instrument is typicallyused, the wellbore generally has inserted therein a steel liner orcasing. The liner or casing is generally held in place by cement fillingthe annular space between the wellbore wall and the exterior of theliner or casing. As high-energy neutrons leave the neutron source in thelogging instrument, the mud in the wellbore has the effect of rapidlymoderating (or slowing down) the high-energy neutrons to the thermallevel due to of the high concentration of hydrogen nuclei in the mud.

In general, the relative numbers of thermal neutrons (“population”) atany particular time after a neutron burst, or thermal neutrons in thewellbore and in the earth formations proximal to the wellbore, willdepend on the porosity and on the hydrogen nucleus concentration withinthe earth formation. This population can be “captured,” or absorbed bynuclei of various chemical elements in the wellbore and formations, at arate which depends upon the relative concentration and on the thermalneutron capture cross-section of these elements. In wellbores and inearth formations, some of the more common elements having high thermalneutron cross-sections include chlorine, hydrogen, iron, silicon,calcium, boron, and sulfur. As determined from measurements of capturegamma rays made by the well logging instrument, the thermal neutrondecay time (neutron lifetime), represents combined effects of thethermal neutron capture cross-section in each of several regions withinthe wellbore as well as in the earth formations proximal to thewellbore. These regions include the instrument itself, the fluid in thewellbore, the steel casing, the cement, the earth formations radiallyproximal to the wellbore wall (which may have been infiltrated by fluidfrom within the wellbore), and the earth formations radially more distalfrom the wellbore wall (which have minimal infiltration from the fluidin the wellbore).

Several prior art are aimed at improving measurements in capturecross-section logging. A method and apparatus employing a source and twodetectors are discussed, for example, in U.S. Pat. Nos. 4,645,926 and4,656,354, both issued to Randall. A subsurface instrument includes along-spaced (LS) and short-spaced (SS) detector for detecting natural orinduced gamma ray emissions from subsurface formations. The detectorsproduce electrical pulses, with each pulse corresponding in time withthe incidence of a corresponding gamma ray on the detector and having ananalog voltage amplitude correlative of the gamma ray. A method isdiscussed in Randall '354 for determining presence of a gas by comparingfirst and second parameters obtained at the detectors. The firstparameter is indicative of a count of detected impingements of primarilyinelastic gamma radiation upon a detector. The second parameter isindicative of a count of detected impingements of primarily capturegamma radiation upon a detector. Randall '926 discusses a method ofdetermining a parameter of the borehole, wherein primarily inelasticgamma radiation is normalized upon impingement on a detection means.

In U.S. Pat. No. 4,668,863, issued to Gray, et al., an apparatus is usedto analyze and process parameters including, for example, themacroscopic thermal neutron absorption capture cross-section of theformation at borehole elevations corresponding to the locations fromwhich such spectra are derived. For acquiring temporal spectral data, amulti-channel scale section is provided which includes a channel numbergenerator which produces a numerical sequence of memory address codescorresponding to a sequence of adjacent time windows. A suitable memorydevice is part of the downhole apparatus. Each code uniquely defines astart time, whereby the windows collectively comprise the time intervalof the desired spectrum. Each time a gamma ray pulse is detected, thememory address generated at that time addresses a corresponding memorylocation and increments the count value resident therein. At theconclusion of the time spectrum interval of interest, the memorylocations may be interrogated by the CPU and the resultant spectral dataanalyzed, transmitted to the surface, or presented visually as a gammaray emission count versus time plot. Correlation is made of detectionsignals in response to impingement of gamma radiation upon first andsecond detectors.

U.S. Pat. No. 5,973,321, issued to Schmidt, discusses a method fordetermining the fractional amounts and the thermal neutron capturecross-sections of various regions in a wellbore and regions in earthformations in the vicinity of the wellbore, each having a distinct meanneutron decay time or macroscopic thermal neutron capture cross-section.The method includes generating a data kernel which is made up ofrepresentors (models), or potential decay components of the wellbore andof the earth formations in the vicinity of the wellbore. A thermalneutron decay spectrum is measured by a pulsed neutron instrumentincluding a controllable source of high-energy neutrons and one or moregamma ray detectors at spaced-apart locations from the source. The decayspectrum measured by the instrument is inverted to determine modelparameters by which the individual representors are scaled so that whencombined, the scaled representors most closely match the measured decayspectrum.

U.S. Pat. No. 5,808,298, issued to Mickael, discusses a method fordetermining the oil saturation in an earth formation penetrated by awellbore. Measurement of the relative amounts of carbon and oxygen inthe wellbore and formation are made by spectral analysis ofneutron-induced inelastic gamma rays detected from the earth formationat spaced-apart locations. The method includes calculating an apparentoil holdup in the wellbore at each one of the spaced-apart locationsfrom the measurements of the relative amounts of carbon and oxygen. Acorrected oil holdup is calculated in the wellbore from differencesbetween the apparent holdups determined at each of the spaced-apartlocations. An apparent oil saturation in the formation is determined ateach of the spaced-apart locations from the relative amounts of carbonand oxygen and the corrected oil holdup. A corrected formation oilsaturation is determined from differences between the apparent oilsaturations at each of the spaced apart locations.

Plasek et al., 1995, “Improved Pulsed Neutron Capture Logging With SlimCarbon-Oxygen Tools: Methodology,” SPE Annual Technical Conference &Exhibition, Dallas, Tex., Oct. 22-25, 1995, paper SPE 30598, discusses amethod of carbon-oxygen ratio determination using a reservoir saturationtool for determining physical parameters of a formation. In oneembodiment of the tool, the source and detectors are cylindricallysymmetrical. In an alternate embodiment of the tool, the short-spaceddetector is positioned so as to face toward the borehole while thelong-spaced detector is positioned against a face of the borehole wallso as to receive signals from inside a formation layer.

A need exists for improving a precision and accuracy of parameterestimation obtained from earth formations. The present inventionfulfills this need.

SUMMARY OF THE INVENTION

The present invention is a method and apparatus for determining aparameter of interest of an earth formation with a logging tool having asource for irradiating said earth formation and a plurality of detectorsspaced apart from the source for making measurements resulting frominteraction of the radiation with the earth formation. The parameter ofinterest may be a density or porosity of the earth formation. In oneembodiment of the invention, a first and second set of measurements aremade with first and second detectors. The first detector has a higherprecision, higher resolution, and lower accuracy than the seconddetector. The measurements of the first and second detectors arecombined to give measurements with improved accuracy and precision. Thecombination is effected after filtering the first detector measurementsto match the resolution of the second detector. A normalization factorfor the first detector measurements is derived from the combinedmeasurement, and then applied to the first detector measurements. Asimilar method is used when three detectors of varying accuracy andprecision are used for making measurements. In another aspect, theinvention is a system that includes a conveyance device such as awireline or a drilling tubular for conveying a logging tool into aborehole, the logging tool having a source for irradiating said earthformation and a plurality of detectors spaced apart from the source formaking measurements resulting from interaction of the radiation with theearth formation.

BRIEF DESCRIPTION OF THE DRAWINGS

The present invention is best understood with reference to the attacheddrawings in which like numerals refer to like elements, and in which:

FIG. 1 shows an illustration of an apparatus suitable for use with thepresent invention;

FIG. 2 (prior art) is an overall schematic diagram of the nuclear welllogging system of the present invention; and

FIG. 3 shows a flow chart of the method of the present invention.

DESCRIPTION OF PREFERRED EMBODIMENT

FIG. 1 shows an illustration of an apparatus suitable for use with thepresent invention. The apparatus illustrated is that of the ReservoirPerformance Monitor (RPM) of Baker Atlas, Incorporated. A measurementdevice 100 comprises a neutron source 101 and three axially spaced apartdetectors described below. The number of detectors shown in theembodiment of FIG. 1 is only example of the number of detectors employedin an embodiment of the present invention. It is not a limitation on thescope of the present invention. The measurement device of the presentinvention may comprise two or more detectors. The neutron source 101 maybe pulsed at different frequencies and modes for different types ofmeasurements. Detector short-spaced (SS) detector 105 is closest to thesource 101 The long-spaced (LS) detector is denoted by 106, and thefurthest detector 107 is referred to as the extra-large spaced (XLS)detector. Fast neutrons (approximately 14 MeV) are emitted from thesource 101 and enter the borehole and formation, where they undergoseveral types of interactions. During the first few microseconds (μs),before they lose much energy, some neutrons are involved in inelasticscattering with nuclei in the borehole formation and produce gamma rays.These inelastic gamma rays 120, have energies that are characteristic ofthe atomic nuclei that produced them. The atomic nuclei found in thisenvironment include, for example, carbon, oxygen, silicon, calcium, andsome others.

Two or more gamma-ray detectors are employed, in one or more modes ofoperation. Such modes include, but are not limited to, a pulsed neutroncapture mode, a pulsed neutron spectrometry mode, a pulsed neutronholdup imager mode, and a neutron activation mode. In a pulsed neutroncapture mode, for example, the tool pulses at 1 kHz, and records acomplete time spectrum for each detector. An energy spectrum is alsorecorded for maintaining energy discrimination levels. Time spectra fromshort-spaced and long-spaced detectors can be processed individually toprovide traditional thermal neutron capture cross section information,or the two spectra can be used together to automatically correct forborehole and diffusion effects and produce results substantiallyapproximating intrinsic formation values.

In a pulsed neutron spectrometry mode, the instrument pulses at 10 kHz,for example, and records full inelastic and capture gamma ray energyspectra from each detector. These data are processed to determinecritical elemental ratios including carbon/oxygen and calcium/siliconfrom the inelastic spectra and silicon/calcium from the capture spectra.A pulsed neutron holdup imager mode yields both energy spectra and timedecay spectra from each detector simultaneously. Measurements can beused to determine holdups of gas, oil, and water. When combined withother production logs, the measurements made herein can provide acomprehensive production profile picture, even in deviated or horizontalwells. A neutron activation mode provides water-flow measurements usingone of several data acquisition methods. Stationary measurements aremade in either of two modes, and measurements at different loggingspeeds can be used to segregate different flow rates in either anannulus or in an adjacent tubing string. Various spectra of count ratesfrom these can be used either individually or in combination as neededfor each measurement mode.

With the neutron generator turned off, the measurement apparatus canalso be used to detect the distribution of materials, tagged withradioactive tracers, that are injected into the well during welltreatments. In this manner, the effectiveness of operations such ashydraulic fracturing or gravel pack placement can be evaluated.

In an embodiment of the present invention, a pulsed neutron generatorwith improved reliability and higher output is coupled with high-speeddownhole microprocessor-controlled drivers and detector electronics. Thesystem supports multiple frequency operation and different detectiongate timings to make the different measurements. The modes of operationcan be selected from the surface with no need to pull the tool out ofthe well.

After just a few μs, most of the neutrons are slowed by either inelasticor elastic scattering until they reach thermal energies, about 0.025 eV.This process is illustrated schematically in FIG. 1 as the sequence ofsolid arrows 110. At thermal energies, neutrons continue to undergoelastic collisions, but they no longer lose energy on average. A few μsafter the neutron generator shuts off, this process is complete. Overthe next several hundred μs, thermal neutrons are captured by nuclei ofvarious elements—again producing gammas rays, known as capture gammarays 130. A capture gamma ray energy spectrum yields information aboutthe relative abundances of these elements.

The rate at which the thermal neutron population is captured can bedetermined from the total number of capture gamma rays recorded as afunction of time. This time decay spectrum can provide information aboutthose elements with large cross sections for (or high probabilities of)thermal neutron capture.

Typically, the precision and accuracy of a given detector are dependenton the distance from the detector to the source. At shorter distances, asignificant number of received signals are attributable to materialresiding in the borehole region, rather than in the earth formationbeing investigated. The accuracy of such a measurement at shortsource-detector distances is thereby reduced. On the other hand, closeproximity of a detector to a source results in a high signal strength.This high signal strength leads to a high degree of statisticalprecision of the measurement taken at that short distance. At longerdistances between detector and source, an increased percentage ofsignals are obtained from the earth formation, thereby leading to ahigher degree of accuracy of the measurement obtained. However, thenumber of signals obtained by the detector is significantly reduced dueto the increased distance and diffusion processes. Lack of sufficientsignal strength yields a lower statistical precision of the measurement.

In the present invention described above with reference to FIG. 1, theSS detector 105 measures the received signals at a high level ofprecision. As the source-detector spacing increases, this level ofprecision drops, so that measurements at LS detector 106 are not asprecise as the measurements from the SS detector. On the other hand,measurements obtained at the SS detector are highly perturbed byinteraction with elements within the borehole. Increasing the spacingbetween source and detector reduces the perturbative effects of theborehole, thereby increasing the accuracy of the measurement at the XLSdetector 107. The logging tool described above may be part of a system,such as that illustrated in FIG. 2. The system shown in FIG. 2 is aprior art system. Well 10 penetrates the earth's surface and may or maynot be cased depending upon the particular well being investigated.Disposed within well 10 is subsurface well logging instrument 12. Thesystem diagramed in FIG. 2 is a microprocessor-based nuclear welllogging system using multi-channel scale analysis for determining thetiming distributions of the detected gamma rays. Well logging instrument12 includes long-spaced (LS) detector 14, short-spaced (SS) detector 16and pulses neutron source 18. In one embodiment, LS and SS detectors 14and 16 are comprised of bismuth-germanate (BGO) crystals coupled tophotomultiplier tubes. To protect the detector systems from the hightemperatures encountered in boreholes, the detector system may bemounted in a Dewar-type flask. Also, in the preferred embodiment, source18 comprises a pulsed neutron source using a D-T reaction whereindeuterium ions are accelerated into a tritium target, thereby generatingneutrons having an energy of approximately 14 MeV. The filament currentand accelerator voltage are supplied to source 18 through power supply15. Cable 20 suspends instrument 12 in well 10 and contains the requiredconductors for electrically connecting instrument 12 with the surfaceapparatus.

The outputs from LS and SS detectors 14 and 16 are coupled to detectorboard 22, which amplifies these outputs and compares them to anadjustable discriminator level for passage to channel generator 26.Channel generator 26 is a component of multi-channel scale (MCS) section24 which further includes spectrum accumulator 28 and central processorunit (CPU) 30. As will be explained later, MCS section 24 accumulatesspectral data in spectrum accumulator 28 by using a channel numbergenerated by channel generator 26 and associated with a pulse as anaddress for a memory location. After all of the channels have had theirdata accumulated, CPU 30 reads the spectrum, or collection of data fromall of the channels, and sends the data to modem 32 which is coupled tocable 20 for transmission of the data over a communication link to thesurface apparatus. Also to be explained later is the further function ofchannel generator 26 in generating synchronization signals which controlthe pulse frequency of source 18, and further functions of CPU 30 incommunicating control commands which define certain operationalparameters of instrument 12 including the discriminator levels ofdetector board 22, and the filament current and accelerator voltagesupplied to source 18 by power supply 15.

The surface apparatus includes master controller 34 coupled to cable 20for recovery of data from instrument 12 and for transmitting commandsignals to instrument 12. There is also associated with the surfaceapparatus depth controller 36 which provides signals to mastercontroller 34 indicating the movement of instrument 12 within well 10.The system operator accesses the master controller 34 to allow thesystem operator to provide selected input for the logging operation tobe performed by the system. Display unit 40 and mass storage unit 44 arealso coupled to master controller 34. The primary purpose of displayunit 40 is to provide visual indications of the generated logging dataas well as systems operations data. Storage unit 44 is provided forstoring logging data generated by the system as well as for retrieval ofstored data and system operation programs. A satellite link may beprovided to send data and or receive instructions from a remotelocation.

In a well logging operation such as is illustrated by FIG. 2, mastercontroller 34 initially transmits system operation programs and commandsignals to be implemented by CPU 30, such programs and signals beingrelated to the particular well logging operation. Instrument 12 is thencaused to traverse well 10 in a conventional manner, with source 18being pulsed in response to synchronization signals from channelgenerator 26. Typically, source 18 is pulsed at a rate of 1000bursts/second (1 KHz). This, in turn, causes a burst of high energyneutrons on the order of 14 MeV to be introduced into the surroundingformation to be investigated. In a manner previously described, thispopulation of high energy neutrons introduced into the formation willcause the generation of gamma rays within the formation which at varioustimes will impinge on LS and SS detectors 14 and 16. As each gamma raythus impinges upon the crystal-photomultiplier tube arrangement of thedetectors, a voltage pulse having an amplitude related to the energy ofthe particular gamma ray is delivered to detector board 22. It will berecalled that detector board 22 amplifies each pulse and compares themto an adjustable discriminator level, typically set at a valuecorresponding to approximately 100 KeV. If such pulse has an amplitudecorresponding to an energy of at least approximately 100 KeV, thevoltage pulse is transformed into a digital signal and passed to channelgenerator 26 of MCS section 24.

The system of the present invention may differ from the prior art systemin that three detectors may be used. This has been discussed above. Inaddition, as would be known to those versed in the art, many of thefunctions of the components described with reference to FIG. 2 may becarried out by a processor. It should also be noted that the systemdescribed in FIG. 2 involves conveyance of the logging device into thewell by a wireline. However, it is envisaged that the logging devicecould be part of a measurement while drilling (MWD) bottom hole assemblyconveyed into the borehole by a drilling tubular such as a drillstringor coiled tubing.

In a multi-detector device, several measurements of capturecross-sections can be obtained. These measurements can be combined tocreate a combined capture cross-section:

Σ_(comb)=ω₁Σ₁+ω₂Σ₂+  (1)

where Σ_(i) is the capture cross-section measured at detector i, andω_(i) is a corresponding weight of the i^(th) capture cross-section. Theweight of an individual capture cross-section can be typicallydetermined by a statistical precision of the measurement. For example,the weight can be inversely proportionally to the standard deviation ofthe measurement at a given detector:

$\begin{matrix}{\omega_{i} = \frac{1}{\sigma_{i}^{2}}} & (2)\end{matrix}$

where σ is the variance of the measurement of the i^(th) detector. Thisweighting is done currently, for example, for C/O measurements. Variancecan be measured in a variety of ways. As an example, with the RPMsystem, σ can be determined by measuring an average arrival time of thegamma rays at the detector, and relating this average time to a decayrate. The average time technique is a remarkably robust andstatistically precise method of computing Σ.

The computation of the true or “intrinsic” formation sigma iscomplicated by the fact that the raw data from the instrument containcontributions from the borehole as well as from the formation. Ingeneral, the early part of the decay is most affected by neutronabsorption in the borehole and the late decay by formation absorption,although they are not completely independent of each other. That is, theborehole influences the formation decay and the formation influences theborehole decay. A typical computation of sigma minimizes the boreholeinfluence by using a late portion of the decay for the formation sigmacalculation.

Combined pulsed neutron capture data from multiple detectors can be usedin such a way as to improve the statistical precision and the accuracyof the measurement. The term “precision” refers, in a general sense, tothe repeatability of the measurements, i.e., a more precise sensingdevice will give the same value for repeated measurements of the sameparameter. The term “accuracy” refers to how close the output of asensing device is to the true value of the quantity being measured.Thus, a precise measurement that has a bias is not an accuratemeasurement.

In a preferred embodiment of the invention, a weighted combination ofdata from two or more detectors is used to provide measurements withstatistical precision superior to any one of the individual detectorsalone. Such combinations will have measurement characteristics that aresomewhat different from those of any individual detector alone. Asdiscussed above, the XLS detector 107 achieves a higher degree ofaccuracy over the measured interval than measurements of the SS 105 andLS 106 detector. The XLS 107 detector will also have a lower resolutionand lower precision than the LS and SS detectors. In the presentinvention, a measurement is obtained with an accuracy of a measurementfrom the XLS detector and a precision obtained from a weightednormalized Σ_(comb). This can be done in the manner described next.

Turning now to FIG. 3, one embodiment of the invention is shown. A firstset of measurements, preferably the SS measurements, are smoothed 401 bya suitable filtering operation to match the resolution of a second setof measurements, preferably the XLS measurements. The resulting smoothedSS measurements has an even smaller standard deviation (higherprecision) than the original SS measurements. The smoothed measurementsare then combined 403 with a second set of measurements (preferably theXLS measurements) using eq. (1) to give a combined measurement. Thiscombined measurement will be more accurate than the first measurements.U.S. Pat. No. 4,794,792 to Flaum, et al, discusses a step similar to thefiltering carried out herein, but does not teach or suggest combiningthe measurements to give a measurement with improved accuracy. Next, thecombined measurements are compared with the first measurements 405.Using this comparison, a normalization factor is determined 407 andapplied 409 to the first measurements to give a normalized measurement.The normalized measurements will be more accurate than the firstmeasurements. The normalization factor may be additive ormultiplicative, depending upon the type of measurements being used.Optionally, the normalized measurements may be combined with the XLSmeasurements using eq. (1).

In a second, preferred embodiment of the invention, a sequence of stepssimilar to that outlined in FIG. 3 is carried out with one difference:the first set of measurements include both the SS and LS measurements.In this manner, a more precise and more accurate measurement withreasonably high resolution is obtained.

The processing of the data may be accomplished using a processor thatmay be located downhole or at an uphole location. Once the measurementaccuracy and precision have been improved using the methods describedabove, the parameter of interest may be obtained using well known priorart techniques. As would be known to those versed in the art, parametersof interest that may be determined by nuclear logging tools include adensity and a porosity of the earth formation.

The logging instrument as described above is suitable for use on awireline or may be conveyed into the borehole on a measurement whiledrilling device using a drilling tubular such as a drillstring or coiledtubing. When a drilling tubular is used, the measurement apparatus isusually part of a bottom hole drilling assembly. Such conveyance devicesare known in the art and are not discussed further here.

The present invention has been described with reference to a nuclearlogging instrument. However, the method of the present invention mayalso be used with other types of logging instruments, including anacoustic logging instrument. In an acoustic logging instrument, signalsgenerated from an acoustic source propagate through an earth formationand are detected at a plurality of spaced apart detectors. Dur to thepassage through a dispersive earth formation, the signals sufferdegradation at increased source-receiver distances.

Additionally, the method of the present invention may also be used when,for example, the first and second detectors are at the same distancefrom the source. However, if the second detector is sampled morefrequently than the first detector, then the second detector will beless precise than and as accurate as the first detector.

While the foregoing disclosure is directed to the preferred embodimentsof the invention, various modifications will be apparent to thoseskilled in the art. It is intended that all such variations within thescope and spirit of the appended claims be embraced by the foregoingdisclosure.

1. A method for determining a parameter of interest of an earthformation with a logging tool having an energy source and a plurality ofdetectors for making measurements resulting from interaction of saidenergy source with said earth formation, the method comprising: (a)making a first measurement indicative of said parameter of interest at afirst of said plurality of detectors, said first measurement having afirst precision; (b) making a second measurement indicative of saidparameter of interest at a second of said plurality of detectors, saidsecond measurement having a second precision not greater than said firstprecision; (c) combining said first and second measurements using astandard deviation of the measurements for each of the detectors to givea processed measurement having a higher precision than the firstmeasurement; and (d) recording the processed measurement on a suitablemedium.
 2. The method of claim 1 wherein said energy source comprises asource of radiation.
 3. The method of claim 1 wherein said firstmeasurement has a first accuracy, said second measurement has a secondaccuracy not less than said first accuracy, and wherein said processedmeasurement has an accuracy at least the same as said second accuracy.4. The method of claim 3 further comprising: making a third set ofmeasurements indicative of said parameter of interest, said thirdmeasurements having a precision intermediate to said first and secondprecisions and a third accuracy intermediate to said first and secondaccuracies; and wherein combining said first and, second measurementsfurther comprises combining the third measurement with the first andsecond measurements.
 5. The method of claim 4 wherein said firstmeasurement is made with a first detector having a first distance fromsaid source, and said second measurements are made with a seconddetector having a second distance from said source greater than saidfirst distance.
 6. The method of claim 5 wherein said third measurementis made with a third detector having a distance from said source that isintermediate to said first and second distances.
 7. The method of claim1 wherein said measurements comprise gamma ray counts.
 8. The method ofclaim 1 wherein said measurements comprise neutron counts.
 9. The methodof claim 4 wherein combining said first, second and third measurementsfurther comprises forming a weighted sum of said first, second and thirdmeasurements.
 10. The method of claim 1 wherein combining said first andsecond measurements further comprises filtering said first measurementto give filtered measurements having a resolution that is substantiallyequal to a resolution of said second measurement.
 11. The method ofclaim 4 wherein combining said first, second and third measurementsfurther comprises filtering said first and third measurements to giveoutput measurements having a resolution that is substantially equal to aresolution of said second measurement.
 12. The method of claim 15further comprising determining said parameter of interest from saidprocessed measurements.
 13. The method of claim 1 wherein said parameterof interest is selected from: (i) a porosity of said formation, and (ii)a density of said formation.
 14. The method of claim 1 wherein saidfirst and second detectors are at the same spacing from said source, andwherein said second detector is sampled more frequently than said firstdetector.
 15. An apparatus for determining a parameter of interest of anearth formation comprising: (a) a logging tool configured to be conveyedinto a borehole in said earth formation, said logging tool including asource which propagates energy into said earth formation; (b) a firstdetector on said logging tool spaced apart from the source at a firstdistance, said first detector configured to make a first measurementindicative of an interaction of said energy with said earth formation,said first measurement having a first precision; (c) a second detectoron said logging tool spaced apart from the source at a second distancegreater than the first distance, said second detector configured to makea second measurement indicative of said parameter of interest, saidsecond measurement having a second precision not greater than said firstprecision; and (d) a processor configured to combine said first andsecond measurements using a standard deviation of the measurements foreach of the detectors to give a processed measurement having a higherprecision than the first measurement.
 16. The apparatus of claim 15wherein said second measurement has a second accuracy not less than afirst accuracy of said first measurement, and wherein said processedmeasurement has at least the same accuracy of the second measurement.17. The apparatus of claim 16 further comprising a memory deviceconfigured to store said first and second measurements.
 18. Theapparatus of claim 15 wherein said source comprises a pulsed neutronsource.
 19. The apparatus of claim 15 further comprising a thirddetector on said logging tool spaced apart from said source at a thirddistance intermediate to said first and second distances, and whereinsaid processor is further configured to combine measurements made bysaid third detector with measurements made by said first and seconddetectors.